Simple calibration of non-overlapping cameras with a mirror

Kumar, Rahul; Ilie, Adrian; Frahm, J-M.; Pollefeys, Marc

doi:10.1109/cvpr.2008.4587676

Cited by 156 publications

(116 citation statements)

References 18 publications

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“…As shown in Table 1, the second group can be categorized into two subgroups: (2a) calibration from 4 (or more) known 3D reference object points [12,16,18] or (2b) calibration from 3 known 3D reference object points [8]. The biggest difference between (2a) and (2b) is whether the camera extrinsic parameters can be uniquely determined or not.…”

Section: Related Workmentioning

confidence: 99%

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A new mirror-based extrinsic camera calibration using an orthogonality constraint

Takahashi

Nobuhara

Matsuyama

2012

2012 IEEE Conference on Computer Vision and Pattern Recognition

113

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This paper is aimed at calibrating the relative posture and position, i.e. extrinsic parameters, of a stationary camera against a 3D reference object which is not directly visible from the camera. We capture the reference object via a mirror under three different unknown poses, and then calibrate the extrinsic parameters from 2D appearances of reflections of the reference object in the mirrors.The key contribution of this paper is to present a new algorithm which returns a unique solution of three P3P problems from three mirrored images. While each P3P problem has up to four solutions and therefore a set of three P3P problems has up to 64 solutions, our method can select a solution based on an orthogonality constraint which should be satisfied by all families of reflections of a single reference object. In addition we propose a new scheme to compute the extrinsic parameters by solving a large system of linear equations. These two points enable us to provide a unique and robust solution.We demonstrate the advantages of the proposed method against a state-of-the-art by qualitative and quantitative evaluations using synthesized and real data.

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Section: Related Workmentioning

confidence: 99%

“…For the cases where this condition does not hold, some studies proposed algorithm using mirrors [8,10,12,13,15,16,18]. They observe the reference object via mirrors, and then estimate the extrinsic parameters from the reflections of the reference objects in the mirrors.…”

Section: Introductionmentioning

confidence: 99%

A new mirror-based extrinsic camera calibration using an orthogonality constraint

Takahashi

Nobuhara

Matsuyama

2012

2012 IEEE Conference on Computer Vision and Pattern Recognition

113

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“…(8), the mirrored coordinate system, i.e., the virtual camera C i , can be easily obtained, as in [9]. Here we use a coordinate transformation method to find the relation between each virtual camera C i and the real camera C, by finding the rotation matrix R i and translational vector T i (i = 1, 2, 3).…”

Section: Locating Virtual Camerasmentioning

confidence: 99%

“…1) using traditional multiple-view reconstruction methods applied to the direct view and a view visible in a depicted mirror [11]. Even though using reflected images by mirrors is a very popular approach for stereo vision in computer vision [7,9,10,12], it was the first time to analyze a painting with such a setup. However, there were some limitations in that previous work as well as unexplored opportunities.…”

Section: Introductionmentioning

confidence: 99%

Finding Intrinsic and Extrinsic Viewing Parameters from a Single Realist Painting

Stork

Khoo

Zhu

2009

Computer Analysis of Images and Patterns

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Abstract. In this paper we studied the geometry of a three-dimensional tableau from a single realist painting -Scott Fraser's Three way vanitas (2006). The tableau contains a carefully chosen complex arrangement of objects including a moth, egg, cup, and strand of string, glass of water, bone, and hand mirror. Each of the three plane mirrors presents a different view of the tableau from a virtual camera behind each mirror and symmetric to the artist's viewing point. Our new contribution was to incorporate single-view geometric information extracted from the direct image of the wooden mirror frames in order to obtain the camera models of both the real camera and the three virtual cameras. Both the intrinsic and extrinsic parameters are estimated for the direct image and the images in three plane mirrors depicted within the painting.

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“…The approximate solution of a matrix is projected to the manifold of the parameter space to modify. In [5], with the help of a mirror, a common calibration object can be seen directly through all the non-overlapping view cameras. By formulating constraints between cameras and the mirrored calibration object, the extrinsic parameters can be deduced simply.…”

Section: Introductionmentioning

confidence: 99%

Novel Calibration Method for the Multi-Camera Measurement System

Wang

2014

Journal of the Optical Society of Korea

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In a multi-camera measurement system, the determination of the external parameters is one of the vital tasks, referred to as the calibration of the system. In this paper, a new geometrical calibration method, which is based on the theory of the vanishing line, is proposed. Using a planar target with three equally spaced parallel lines, the normal vector of the target plane can be confirmed easily in every camera coordinate system of the measurement system. By moving the target into more than two different positions, the rotation matrix can be determined from related theory, i.e., the expression of the same vector in different coordinate systems. Moreover, the translation matrix can be derived from the known distance between the adjacent parallel lines. In this paper, the main factors effecting the calibration are analyzed. Simulations show that the proposed method achieves robustness and accuracy. Experimental results show that the calibration can reach 1.25 mm with the range about 0.5m. Furthermore, this calibration method also can be used for auto-calibration of the multi-camera measurement system as the feature of parallels exists widely.

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Simple calibration of non-overlapping cameras with a mirror

Cited by 156 publications

References 18 publications

A new mirror-based extrinsic camera calibration using an orthogonality constraint

A new mirror-based extrinsic camera calibration using an orthogonality constraint

Finding Intrinsic and Extrinsic Viewing Parameters from a Single Realist Painting

Novel Calibration Method for the Multi-Camera Measurement System

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